Bifurcation Analysis of the Multiple Flips Homoclinic Orbit  

作　　者：Tiansi ZHANG Deming ZHU 

机构地区：[1]College of Science, University of Shanghai for Science and Technology [2]Department of Mathematics, East China Normal University

出　　处：《Chinese Annals of Mathematics,Series B》2015年第1期91-104,共14页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11126097)

摘　　要：A high-codimension homoclinic bifurcation is considered with one orbit flip and two inclination flips accompanied by resonant principal eigenvalues. A local active coordinate system in a small neighborhood of homoclinic orbit is introduced. By analysis of the bifurcation equation, the authors obtain the conditions when the original flip homoclinic orbit is kept or broken. The existence and the existence regions of several double periodic orbits and one triple periodic orbit bifurcations are proved. Moreover, the complicated homoclinic-doubling bifurcations are found and expressed approximately.

关 键 词：Orbit flip Inclination flips Homoclinic orbit RESONANCE 

分 类 号：O415.5[理学—理论物理]